Finding the Third Proportional to 2,314.13 and 3,607.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.13 : 3,607.88 = 3,607.88 : x
2. Step 2: Convert to fraction form
   2,314.13/3,607.88 = 3,607.88/x
3. Step 3: Cross multiply
   2,314.13x = 3,607.88 × 3,607.88
4. Step 4: Simplify right side
   2,314.13x = 13,016,762.02
5. Step 5: Solve for x
   x = 13,016,762.02/2,314.13
6. Step 6: Final answer
   x = 5,624.92